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MATHEMATICS

JAMB 2015 - Question 33

Mathematics 2015 JAMB Past Questions - Question 33: If y=x2-3x+4 ,find dy/dx at x=5

If y=x2-3x+4 ,find dy/dx at x=5

A: 3

B: 5

C: 7

D: 9

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Correct Answer

Explanation

y=x2-3x+4dy/dx=2x-3at x=52(5)-3=10-32(5)-3=7To find dy/dx for the function y = x^2 - 3x + 4, we first need to find the derivative of y with respect to x.The derivative of y with respect to x, dy/dx, is given by:dy/dx = 2x - 3Now, to find dy/dx at x = 5, we can substitute x = 5 into the derivative:dy/dx = 2*5 - 3dy/dx = 10 - 3dy/dx = 7Therefore, the value of dy/dx at x = 5 is 7.